133216765440 has 1280 divisors, whose sum is σ = 532020234240. Its totient is φ = 28028436480.

The previous prime is 133216765439. The next prime is 133216765447. The reversal of 133216765440 is 44567612331.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a junction number, because it is equal to n+sod(n) for n = 133216765392 and 133216765401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133216765447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1222172106 + ... + 1222172214.

It is an arithmetic number, because the mean of its divisors is an integer number (415640808).

Almost surely, 2^133216765440 is an apocalyptic number.

133216765440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133216765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266010117120).

133216765440 is an abundant number, since it is smaller than the sum of its proper divisors (398803468800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133216765440 is a wasteful number, since it uses less digits than its factorization.

133216765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 133216765440 in words is "one hundred thirty-three billion, two hundred sixteen million, seven hundred sixty-five thousand, four hundred forty".